Artículo
Lineability in sequence and function spaces
Autor/es | Araújo Soares, Gustavo
Bernal González, Luis Muñoz Fernández, Gustavo Adolfo Prado Bassas, José Antonio Seoane Sepúlveda, Juan Benigno |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2017 |
Fecha de depósito | 2017-05-15 |
Publicado en |
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Resumen | It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ... It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing on dense sets, and the family of non-continuous separately continuous real functions. Lineability in special spaces of sequences is also investigated. Some of our findings complete or extend a number of results by several authors. |
Identificador del proyecto | PDSE/CAPES 8015/14-7
FQM-127 P08-FQM-03543 MTM2012-34847-C02-01 MTM2012-34341 |
Cita | Araújo Soares, G., Bernal González, L., Muñoz Fernández, G.A., Prado Bassas, J.A. y Seoane Sepúlveda, J.B. (2017). Lineability in sequence and function spaces. Studia Mathematica, 237 (2), 119-136. |
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